26414383104 has 96 divisors (see below), whose sum is σ = 76307905440. Its totient is φ = 8804696064.

The previous prime is 26414383049. The next prime is 26414383109. The reversal of 26414383104 is 40138341462.

26414383104 is a `hidden beast` number, since 2 + 641 + 4 + 3 + 8 + 3 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26414383109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250129 + ... + 339695.

It is an arithmetic number, because the mean of its divisors is an integer number (794874015).

Almost surely, 2^26414383104 is an apocalyptic number.

26414383104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26414383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38153952720).

26414383104 is an abundant number, since it is smaller than the sum of its proper divisors (49893522336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26414383104 is an frugal number, since it uses more digits than its factorization.

26414383104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89603 (or 89572 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26414383104 in words is "twenty-six billion, four hundred fourteen million, three hundred eighty-three thousand, one hundred four".